Remove Outliers - MATLAB & Simulink (2024)

Remove Outliers

Remove Outliers Interactively

To remove outliers in the Curve Fitter app, follow these steps:

  1. In the plot axes toolbar, click the Exclude outliers button Remove Outliers- MATLAB & Simulink (1).

    When you move the mouse cursor to the plot, it changes to a cross-hair to show that you are in outlier selection mode.

  2. Click a point that you want to exclude in the fit plot or residuals plot. Alternatively, click and drag to define a rectangle and remove all enclosed points.

    A removed plot point becomes a red cross in the plots. If you have Auto fitting selected in the Fit section of the Curve Fitter tab, the Curve Fitter app refits the surface without the point. Otherwise, if you have Manual fitting selected, you can click Fit to refit.

  3. Repeat the process for all points you want to exclude.

When removing outliers from surface fits, it can be helpful to display a 2-D residuals plot for examining and removing outliers. With your plot cursor in rotation mode, right-click the plot to select Go to X-Y view, Go to X-Z view, or Go to Y-Z view.

To replace individual excluded points in the fit, click an excluded point again in outlier selection mode (that is, with the Exclude outliers button toggled on in the axes toolbar). To replace all excluded points in the fit, right-click and select Clear all exclusions.

In surface plots, to return to rotation mode, click the Exclude outliers button again to turn off outlier selection mode.

Exclude Data Ranges

To exclude sections of data by range in the Curve Fitter app, follow these steps:

  1. On the Curve Fitter tab, in the Data section, click Exclusion Rules.

  2. In the Exclusion Rules dialog box, specify data to exclude. Enter numbers in any of the boxes to define beginning or ending intervals to exclude in the X, Y, or Z data.

    The Curve Fitter app displays shaded pink areas on the plots to show excluded ranges. Excluded points become red.

Remove Outliers Programmatically

Open Live Script

This example shows how to remove outliers when curve fitting programmatically, using the 'Exclude' name/value pair argument with the fit or fitoptions functions. You can plot excluded data by supplying an Exclude or outliers argument with the plot function.

Exclude Data Using a Simple Rule

For a simple example, load data and fit a Gaussian distribution, excluding some data with an expression. Then plot the fit, data and the excluded points.

[x, y] = titanium;f1 = fit(x',y','gauss2','Exclude',x<800);plot(f1,x,y,x<800)

Remove Outliers- MATLAB & Simulink (2)

Exclude Data by Distance from the Model

It can be useful to exclude outliers by distance from the model, using standard deviations. The following example shows how to identify outliers using distance greater than 1.5 standard deviations from the model, and compares with a robust fit which gives lower weight to outliers.

Create a baseline sinusoidal signal:

xdata = (0:0.1:2*pi)'; y0 = sin(xdata);

Add noise to the signal with non-constant variance:

% Response-dependent Gaussian noisegnoise = y0.*randn(size(y0));% Salt-and-pepper noisespnoise = zeros(size(y0)); p = randperm(length(y0));sppoints = p(1:round(length(p)/5));spnoise(sppoints) = 5*sign(y0(sppoints));ydata = y0 + gnoise + spnoise;

Fit the noisy data with a baseline sinusoidal model:

f = fittype('a*sin(b*x)'); fit1 = fit(xdata,ydata,f,'StartPoint',[1 1]);

Identify outliers as points at a distance greater than 1.5 standard deviations from the baseline model, and refit the data with the outliers excluded:

fdata = feval(fit1,xdata); I = abs(fdata - ydata) > 1.5*std(ydata); outliers = excludedata(xdata,ydata,'indices',I);fit2 = fit(xdata,ydata,f,'StartPoint',[1 1],... 'Exclude',outliers);

Compare the effect of excluding the outliers with the effect of giving them lower bisquare weight in a robust fit:

fit3 = fit(xdata,ydata,f,'StartPoint',[1 1],'Robust','on');

Plot the data, the outliers, and the results of the fits:

plot(fit1,'r-',xdata,ydata,'k.',outliers,'m*') hold onplot(fit2,'c--')plot(fit3,'b:')xlim([0 2*pi])

Remove Outliers- MATLAB & Simulink (3)

See Also

fit | excludedata

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Remove Outliers
- MATLAB & Simulink (2024)

FAQs

How do you filter to remove outliers in Matlab? ›

y = hampel( x ) applies a Hampel filter to the input vector x to detect and remove outliers.

How do you smooth remove outliers in Matlab? ›

You can replace outliers in your data by using the filloutliers function and specifying a fill method. For example, fill the outlier in Anoise with the value of its neighbor immediately to the right. Alternatively, you can remove outliers from your data by using the rmoutliers function.

How do you remove outliers in Matlab box plot? ›

Remove the outlier using the default detection method "median" . [B,TFrm,TFoutlier,L,U,C] = rmoutliers(A); Plot the original data, the data with outliers removed, and the thresholds and center value determined by the detection method.

What is the best way to remove outliers? ›

Outliers can be treated in different ways, such as trimming, capping, discretization, or by treating them as missing values. Emperical relations are used to detect outliers in normal distributions, and Inter-Quartile Range (IQR) is used to do so in skewed distributions.

How to fill out outliers in Matlab? ›

Detect outliers with the default method "median" , and replace the outlier with the upper threshold value by using the "clip" fill method. [B,TF,L,U,C] = filloutliers(A,"clip"); Plot the original data, the data with the outlier filled, and the thresholds and center value determined by the outlier detection method.

How do you transform data to remove outliers? ›

Below are some of the methods of treating the outliers:
  1. Step 1: Trimming/Remove the outliers. In this technique, we remove the outliers from the dataset. ...
  2. Step 2: Quantile Based Flooring and Capping. ...
  3. Step 3: Mean/Median Imputation. ...
  4. Step 5: Visualizing the Data after Treating the Outlier.

What does smoothing do in Matlab? ›

Smoothing is a method of reducing the noise within a data set. Curve Fitting Toolbox™ allows you to smooth data using methods such as moving average, Savitzky-Golay filter and Lowess models or by fitting a smoothing spline.

Does scaling remove outliers? ›

By scaling data according to the quantile range rather than the standard deviation, it reduces the range of your features while keeping the outliers in. In this article, we also looked at how we can implement Robust Scaling with Scikit-learn, and use it for Scikit-learn and TensorFlow models.

Can outliers be deleted? ›

Many scientists Quantics speak to believe they should be able to simply remove a data point from their analysis if they consider it to be an outlier. However, from a regulatory point of view this is unacceptable, unless it is recorded and removed before any analysis has been carried out.

How to remove outliers from a box plot? ›

Trimming and winsorizing are both useful methods to remove outliers in a box plot without distorting data, however, they come with their own set of advantages and disadvantages. Trimming reduces the sample size and the variance of the data, which can affect the statistical inference and the power of the analysis.

How do you remove outliers from the mean in Matlab? ›

m = trimmean( X , percent ) returns the mean of values of X , computed after removing the outliers of X . For example, if X is a vector that has n values, m is the mean of X excluding the highest and lowest k data values, where k = n*(percent/100)/2 .

How to remove data points in Matlab? ›

The simplest way:
  1. Click button "Brush/Select Data"
  2. Select Points.
  3. Right Click mouse.
  4. Choose "Remove"
Jul 18, 2017

How to exclude data from a plot in Matlab? ›

To exclude data when fitting a curve using fit , specify tf as the 'Exclude' value. tf = excludedata( x , y ,'domain', domain ) identifies data points that have x -values outside the interval domain . tf = excludedata( x , y ,'range', range ) identifies the data points with y -values outside the interval range .

What filter for outlier detection? ›

The Hampel Filter identifies outliers based on the median absolute deviation (MAD), a measure less affected by outliers in the data than the standard deviation. It's particularly useful in situations where data may be skewed or contain several unusual points that could skew the mean and standard deviation.

How do you filter outliers using IQR? ›

We can use the IQR method of identifying outliers to set up a “fence” outside of Q1 and Q3. Any values that fall outside of this fence are considered outliers. To build this fence we take 1.5 times the IQR and then subtract this value from Q1 and add this value to Q3.

How do you exclude data from a fit in Matlab? ›

To exclude data when fitting a curve using fit , specify tf as the 'Exclude' value. tf = excludedata( x , y ,'domain', domain ) identifies data points that have x -values outside the interval domain . tf = excludedata( x , y ,'range', range ) identifies the data points with y -values outside the interval range .

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